Time: Tuesday, Thursday 1:00-2:15
Lecture room: E2-1225
Instructor: Suhyoung Choi E6-1-4403(office)
Office Hours: TBA
email: schoixk at kaist dot ac dot kr
Phone: 2732
The purpose of the course is to learn geometric structures on orbifolds for the first 6 weeks. These are standard materials. From the 7th week, we will cover convex real projective orbifold with ends. I will give the summary lectures of the book chapters in class to be recorded by Zoom and to be uploaded to YouTube. We will be give you the materials at least before two weeks in the KLMS. The second part of the course is very much experimental and you will be required to help with the writing, which will be the assignments. .
Course book:
Geometric structures on 2-orbifolds: exploration of discrete symmetry
MSJ Memoirs, Vol. 27. 171pp + xii,
Download at Project Euclid
``Real projective orbifolds with ends and their deformation spaces: the deformation theory for the nice ones,'' We plan revise this many times during Spring of 2024.
Helpful books:
Foundations of Hyperbolic Manifolds, J. Ratcliffe, Springer, Download from the library
Three-Dimensional Geometry and Topology, Vol. 1,
by William P. Thurston (Author), Silvio Levy (Editor), Princeton University Press
Orbifolds and Stringy Topology
by Adem, Leida, and Ruan, Cambridge University Press
There will be 5-6 homework assignments. Some of these will be problem making ones. These will be reports to be uploaded to KLMS. For the second part, you will be asked to help me revise the book. This course will have really no concrete grading based on points. The participation score will be important.
There is no midterm or final exams.